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2132033201320 = 23511197199123601
BaseRepresentation
bin11111000001100111000…
…101001110010010101000
321112211011001121102110111
4133001213011032102220
5234412400444420240
64311235330424104
7310014525125041
oct37014705162250
97484131542414
102132033201320
11752210184190
122a5251732034
131260857393b9
1475295db78c8
153a6d45b11ea
hex1f06714e4a8

2132033201320 has 128 divisors (see below), whose sum is σ = 5286210336000. Its totient is φ = 767467008000.

The previous prime is 2132033201303. The next prime is 2132033201341. The reversal of 2132033201320 is 231023302312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2132033201291 and 2132033201300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17187520 + ... + 17311120.

It is an arithmetic number, because the mean of its divisors is an integer number (41298518250).

Almost surely, 22132033201320 is an apocalyptic number.

2132033201320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132033201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643105168000).

2132033201320 is an abundant number, since it is smaller than the sum of its proper divisors (3154177134680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2132033201320 is a wasteful number, since it uses less digits than its factorization.

2132033201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124019 (or 124015 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2132033201320 its reverse (231023302312), we get a palindrome (2363056503632).

The spelling of 2132033201320 in words is "two trillion, one hundred thirty-two billion, thirty-three million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 197 199 220 394 398 440 788 796 985 995 1576 1592 1970 1990 2167 2189 3940 3980 4334 4378 7880 7960 8668 8756 10835 10945 17336 17512 21670 21890 39203 43340 43780 78406 86680 87560 123601 156812 196015 247202 313624 392030 431233 494404 618005 784060 862466 988808 1236010 1359611 1568120 1724932 2156165 2472020 2719222 3449864 4312330 4944040 5438444 6798055 8624660 10876888 13596110 17249320 24349397 24596599 27192220 48698794 49193198 54384440 97397588 98386396 121746985 122982995 194795176 196772792 243493970 245965990 267843367 270562589 486987940 491931980 535686734 541125178 973975880 983863960 1071373468 1082250356 1339216835 1352812945 2142746936 2164500712 2678433670 2705625890 4845530003 5356867340 5411251780 9691060006 10713734680 10822503560 19382120012 24227650015 38764240024 48455300030 53300830033 96910600060 106601660066 193821200120 213203320132 266504150165 426406640264 533008300330 1066016600660 2132033201320